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681592464 = 243271674049
BaseRepresentation
bin101000101000000…
…100011010010000
31202111112111002100
4220220010122100
52343441424324
6151344520400
722614304020
oct5050043220
91674474070
10681592464
1131a817563
12170320100
13ab295a67
1466745a80
153ec884c9
hex28a04690

681592464 has 120 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 193526784.

The previous prime is 681592447. The next prime is 681592501. The reversal of 681592464 is 464295186.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166312 + ... + 170360.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2681592464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681592464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

681592464 is an abundant number, since it is smaller than the sum of its proper divisors (1512017136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681592464 is a wasteful number, since it uses less digits than its factorization.

681592464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4228 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 681592464 is about 26107.3258684224. The cubic root of 681592464 is about 880.0518495620.

The spelling of 681592464 in words is "six hundred eighty-one million, five hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 167 168 252 334 336 501 504 668 1002 1008 1169 1336 1503 2004 2338 2672 3006 3507 4008 4049 4676 6012 7014 8016 8098 9352 10521 12024 12147 14028 16196 18704 21042 24048 24294 28056 28343 32392 36441 42084 48588 56112 56686 64784 72882 84168 85029 97176 113372 145764 168336 170058 194352 226744 255087 291528 340116 453488 510174 583056 676183 680232 1020348 1352366 1360464 2028549 2040696 2704732 4057098 4081392 4733281 5409464 6085647 8114196 9466562 10818928 12171294 14199843 16228392 18933124 24342588 28399686 32456784 37866248 42599529 48685176 56799372 75732496 85199058 97370352 113598744 170398116 227197488 340796232 681592464